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Simplifying 6(2x + 3) + -3(y + -5) = 0 Reorder the terms: 6(3 + 2x) + -3(y + -5) = 0 (3 * 6 + 2x * 6) + -3(y + -5) = 0 (18 + 12x) + -3(y + -5) = 0 Reorder the terms: 18 + 12x + -3(-5 + y) = 0 18 + 12x + (-5 * -3 + y * -3) = 0 18 + 12x + (15 + -3y) = 0 Reorder the terms: 18 + 15 + 12x + -3y = 0 Combine like terms: 18 + 15 = 33 33 + 12x + -3y = 0 Solving 33 + 12x + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + 12x + -33 + -3y = 0 + -33 Reorder the terms: 33 + -33 + 12x + -3y = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 12x + -3y = 0 + -33 12x + -3y = 0 + -33 Combine like terms: 0 + -33 = -33 12x + -3y = -33 Add '3y' to each side of the equation. 12x + -3y + 3y = -33 + 3y Combine like terms: -3y + 3y = 0 12x + 0 = -33 + 3y 12x = -33 + 3y Divide each side by '12'. x = -2.75 + 0.25y Simplifying x = -2.75 + 0.25y
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